Premium for the Stocks are (6 months expired)

STRIKE: 100 , 110 CALL: 10.35, 6.11 PUT: 6.50, 11.88

Assume the effective 6-month interest rate is 4% and the current spot price stock XYZ is 100.

Currently, you purchase a stock XYZ. You want to have an insurance in case the stock price goes down in six months. At the same time you want to reduce the financing cost. So you buy a collar which is purchase (long) of a 100-strike put and sale (short) a 110-strike call.

This strategy is known as a Collared Stock (long a stock at 100, long a 100-strike put, and short a 110-strike call).

Show that the profit of this Collared Stock strategy is the same as the profit of a 100-110 Bull Spread (long a 100-strike call and short a 110-strike call) for all spot prices at maturity (6 months from now).